SOLUTION: Solve the equation. Check for extraneous solutions. 4|5-6x|=3x+4

Question 494139: Solve the equation. Check for extraneous solutions.
4|5-6x|=3x+4
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the equation. Check for extraneous solutions.
4|5-6x|=3x+4
**
solve for two conditions:
4|5-6x|=3x+4
4(5-6x)=3x+4
20-24x=3x+4
27x=16
x=16/27
..
4*-(5-6x)=3x+4
-20+24x=3x+4
21x=24
x=24/21
solution: x=16/27 or 24/21
..
Check:
For x=16/27
4|5-6x|=3x+4
4|5-6*16/27|=3*16/27+4
5.778=5.778
..
for x=24/21
4|5-6x|=3x+4
4|5-6*24/21|=3*24/21+4
7.4286=7.4286
..
Check ok, no extraneous solutions.
solution: x=16/27 or 24/21
RELATED QUESTIONS
Solve the equation. Check for extraneous solutions.... (answered by ptth176)

Solve the equation. Check for extraneous solutions. square root of 5x+1 =... (answered by oscargut)

Solve the equation. Check for any extraneous solutions. (sqrt(2-x)) =... (answered by mananth,MathTherapy)

Solve and check for extraneous solutions.... (answered by ikleyn)

Solve the equation. Check for extraneous solutions. |4x|=28 I dont understand how to do (answered by algebrahouse.com)

2√(w+4)=5 Solve each equation and check for extraneous... (answered by jim_thompson5910)

solve the equation check for extraneous solutions... (answered by fractalier)

Solve the following equation for �x� and check for extraneous solutions:... (answered by Edwin McCravy)

Solve the equation and check for extraneous solutions. 1.5sqrt(3x-2)-3=7 (answered by stanbon)